# State the x and y intercept: y = -8/9x -16 ?

Apr 13, 2018

$y$-intercept $= - 16$
$x$-intercept $= - 18$

#### Explanation:

Compare the equation to

$y = m x + c$

Where

• $m =$ the slope of the line
• $c =$ the $y$-intercept

Hence,

$c = - 16$

i.e the $y$-intercept is $- 16$.

At the $x$-intercept, $y = 0$. Therefore, let $y = 0$.

$y = - \frac{8}{9} x - 16$

$0 = - \frac{8}{9} x - 16$

$\frac{8}{9} x = - 16$

Divide both sides of the 'equal to' sign by $\frac{8}{9}$

$x = - 18$

Hence, the $x$-intercept is $- 18$.